 | Euclid - Euclid's Elements - 1904 - 488 pages
...and of equal altitude are equal in area. PROPOSITION 39. THEOREM. Equal triangles on the same base, and on the same side of it. are between the same parallels. Let the triangles ABC, DBC which stand on the same base BC, and on the same side of it be equal in... | |
 | Cora Lenore Williams - Geometry - 1905 - 50 pages
...altitudes. Theor. N. Equal triangles on the same base, or on equal bases in the same straight line, and on the same side of it, are between the same parallels. Prop. 88. A trapezoid is equal to a rectangle whose base is half the sum of the two parallel sides,... | |
 | Saskatchewan. Department of Education - Education - 1906 - 188 pages
...triangle be bisected the bisector is parallel to the base. 3 (a) Equal triangles on the same base, and on the same side of -it, are between the same parallels. — I. 39. (6) In what sense are these triangles equal ? (c) Prove that the straight line joining the... | |
 | Walter Percy Workman - Geometry - 1908 - 228 pages
...equal in area (Euc. /. 38) 188 Ar.Sc. — Equal triangles on equal bases in the same straight line, and on the same side of it, are between the same parallels (Euc. I. 40) 188 Loci. L.6. — The locus of the vertex of a triangle of given area and standing upon... | |
 | Newfoundland Council of Higher Education - 1911 - 250 pages
...polygon of thirteen sides. (9) B 4. Prove that equal triangles on equal bases, in the same straight line and on the same side of it, are between the same parallels. Two equal triangles stand on the same base and on opposite sides of it. Prove that the base bisects... | |
 | Arthur Warry Siddons, Reginald Thomas Hughes - Geometry - 1926 - 202 pages
...the same or equal bases are of the same altitude .54 COR. 2. Equivalent triangles on the same base and on the same side of it are between the same parallels .... 54 COR. 3. The locus of the vertices of equivalent triangles on the same base and on the same... | |
 | Great Britain. Scottish Education Dept - 1896 - 642 pages
...sides, what conclusion is to be drawn respecting the other angles ? 2. Equal triangles on the same base and on the same side of it are between the same parallels. ABC is a fixed triangle; find the locus of a point P which moves so that the sum of the triangles PAB,... | |
 | Thomas Tate (Mathematical Master, Training College, Battersea.) - 1860 - 404 pages
...on the same or equal bases are of the same altitude 44 COR. 2. Equivalent triangles on the same base and on the same side of it are between the same parallels . '. . . 44 THEOREM 34. If a triangle and a parallelogram stand on the same base and between the same... | |
 | G. P. West - Geometry - 1965 - 362 pages
...parallels (or, of the same altitude) are equivalent. 255 THEOREM 25. Equivalent triangles on the same base and on the same side of it are between the same parallels. 256 THEOREM 26. If a triangle and a parallelogram stand on the same base and between the same parallels,... | |
 | Education Department - 1879 - 1118 pages
...will form another equilateral triangle. 6. Equal triangles on equal bases in the same straight line and on the same side of it are between the same parallels. Show that the figure formed by joining the middle points of the sides of a quadrilateral is half of... | |
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DE : but equal triangles on the same base and on the same side of it, are between the same parallels ; (i. 
